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第二节  听取信息(共5小题;每小题1分,满分5分)

听下面一段独白,请根据题目要求,从所听到的内容中获取必要的信息,填入答题卡标号为6-10的空格中。听录音前,你将有10秒钟的阅题时间,录音读两遍。你将有60秒钟的作答时间。

Things for sale at the “Radio Market”
Things for sale
Reasons
Prices
A kidney-shaped bath
The owner  6   the wrong color.
Originally £   7  , now £50.
Two frying pans and a seven –piece tool set
The owner is moving to a new house in   8  .
£10
A   9  ladies’ bicycle
The owner has  10  and has decided not to ride it.
£35

语言知识及应用(共两节。满分45分)

试题详情

第一节  听力理解(2段共5小题;每小题2分,满分10分)

每段播放两遍。各段后有几个小题,各段播放前每小题有5秒钟的阅题时间。请根据各段播放内容及其相关小题,在5秒钟内从题中所给的A、B、C项中,选出最佳选项,并在答题卡上将该项涂黑。

听第一段对话,回答第1-2题。

1. What is “shrinkage” according to the conversation?

    A. The cost of the product.             B. The total sales of a business.

    C. A certain amount of loss from theft.

2. What does the man think of the price of the products with sensors?

    A. It should go up.                   B. It can go down.

C. It maybe remains unchanged

听第二段对话,回答第3-5题。K

3. What is the probable relationship between the speakers?

    A. House agent and customer.               B. Waitress and customer.

    C. Wife and husband.

4. What does the man like about the house?

    A. The public transportation.            B. The swimming pool.

    C. The shopping center.

5. What can we learn from the conversation?

    A. There is a gym just upstairs.          B. The apartment has two bedrooms.

    C. The apartment has a great ocean view.

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21.(本小题满分12分)

 已知函数

(Ⅰ)求函数的定义域,并证明在定义域上是奇函数;

(Ⅱ)对于恒成立,求实数的取值范围;

(Ⅲ)当时,试比较的大小关系.

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20.(本小题满分14分)

已知椭圆的左、右焦点分别为,点轴上方椭圆上的一点,且, ,

   (Ⅰ) 求椭圆的方程和点的坐标;

(Ⅱ)判断以为直径的圆与以椭圆的长轴为直径的圆的位置关系;

(Ⅲ)若点是椭圆上的任意一点,是椭圆的一个焦点,探究以为直径的圆与以椭圆的长轴为直径的圆的位置关系.

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19.(本小题满分14分)

已知等差数列的公差大于0,且是方程的两根,数列的前n项的和为,且

  (Ⅰ) 求数列的通项公式;

(Ⅱ)记,求证:

(Ⅲ)求数列的前项和

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18. (本小题满分14分)

已知函数

(Ⅰ)若,求的值;

(Ⅱ)若的图像与直线相切于点,求的值;

(Ⅲ)在(Ⅱ)的条件下,求函数的单调区间.

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17.(本小题满分12分)

已知集合在平面直角坐标系中,点M的坐标满足

(Ⅰ)请列出点M的所有坐标;

(Ⅱ)求点M不在轴上的概率;

(Ⅲ)求点M正好落在区域上的概率.

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16、(本小题满分14分)

设函数的图象经过点

(Ⅰ)求的解析式,并求函数的最小正周期和最值.

(Ⅱ)若,其中是面积为的锐角的内角,且

的长.

试题详情


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